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Popular >

simplify (2/3)^2\times (2/3)^3

Solution

simplify

(\frac{2}{3})^{2} \cdot (\frac{2}{3})^{3}

Solution

\frac{32}{243}

+1

Decimal Notation

0.13168 \dots

Solution steps

(\frac{2}{3})^{2} (\frac{2}{3})^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(\frac{2}{3})^{2} (\frac{2}{3})^{3} = (\frac{2}{3})^{2 + 3}

= (\frac{2}{3})^{2 + 3}

Add the numbers:

2 + 3 = 5

= (\frac{2}{3})^{5}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{2 ^{5}}{3 ^{5}}

2^{5} = 32

= \frac{32}{3 ^{5}}

3^{5} = 243

= \frac{32}{243}

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Frequently Asked Questions (FAQ)

What is (2/3)^2\times (2/3)^3 ?
The solution to (2/3)^2\times (2/3)^3 is 32/243